Abstract
In the present paper, we treat analytical and back-analytical methods for tunnel problems with arbitrary cross section in an isotropic elastic ground and with circular/elliptical cross section in an anisotropic elastic ground under out-of-plane shear stresses at infinity.
The complex variable method with conformal mapping techniques is used to obtain the quantities such as stresses and displacements around tunnel openings. The results of stresses and displacements at arbitrary locations in elastic rock masses are exactly computed by the given values of out-of-plane load, shear elastic constants and shape of the tunnel.
The availabilities of the back-analysis due to our treatment are examined by several numerical results.